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Finding the Fourth Proportional to 363,916.80, 545,875.20 and 287,809.20

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Solution

The fourth proportional to 363,916.80, 545,875.20 and 287,809.20 is: 431,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,916.80 : 545,875.20 = 287,809.20 : x
  2. Step 2: Convert to fraction form
    363,916.80/545,875.20 = 287,809.20/x
  3. Step 3: Cross multiply
    363,916.80x = 545,875.20 × 287,809.20
  4. Step 4: Simplify right side
    363,916.80x = 157,107,904,611.84
  5. Step 5: Solve for x
    x = 157,107,904,611.84/363,916.80
  6. Step 6: Final answer
    x = 431,713.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.